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Biometrika 2001 88(2):499-517; doi:10.1093/biomet/88.2.499
© 2001 by Biometrika Trust
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Mode testing via the excess mass estimate

N.I. Fisher1 and J.S. Marron2

1 CSIRO Mathematical and Information Sciences, Locked Bag 17, North Ryde, NSW 1670, Australianick.fisher{at}cmis.csiro.au 2 Department of Statistics, University of North Carolina, Chapel Hill, North Carolina 27599-3260, U.S.A.marron{at}stat.unc.edu

The problem of identifying the number of modal groups manifested in a sample of data is of continuing interest and importance in statistical practice.In this paper, we combine features of two current approaches to the mode-testing problem with some new ideas, to produce a method that provides the data analyst with a powerful and flexible way of exploring modality in univariate data. This approach also provides what appears to be the first satisfactory test of modality for samples of circular data.

Key Words: Bootstrap testing; Bump-hunting; Circular data; Excess mass; Nonparametric density estimation; Smoothing


Received April 1999. Revised April 2000


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